Investigation of singularly perturbed equations describing nonlinear magnetoacoustic waves

It has been shown for the first time that when stability condition in the system of fast variables is violated, a closed boundary trajectory (BT) is formed, the existence and stability of which is determined by specific variety (SV). The procedure of slow variables averaging by BT is realized. Moreovra, the presence of SV in BT composition and the necessity of reduction to the standard form with subsequent averaging determine the selection of slow variables. For plasma description the model of two-liquid magnetic hydrodynamics is used, which compreses the Maxwell equations, motion and continuity equations for electrons and ions. The change in electric field stability region and formation of electrostatic vibrations over BT on magnetic field profile are the physical consequence of the equation. Part of the rising magnetic field proved to be unstable